A three-phase, two-pole, 400-V (per phase), 60-Hz induction motor develops 37 kW (total) of mech

Question

A three-phase, two-pole, $400-\mathrm{V}$ (per phase), $60-\mathrm{Hz}$ induction motor develops 37 kW (total) of mechanical power $P_m$ at a certain speed. The rotational loss at this speed is 800 W (total). (Stray-load loss is negligible.) a. If the total power transferred to the rotor is 40 kW , determine the slip and the output torque. b. If the total power into the motor $P_{\text {in }}$ is 45 kW and $R_S$ is $0.5 \Omega$, find $I_S$ and the power factor.

    A three-phase, two-pole, $400-\mathrm{V}$ (per phase), $60-\mathrm{Hz}$ induction motor develops 37 kW (total) of mechanical power $P_m$ at a certain speed. The rotational loss at this speed is 800 W (total). (Stray-load loss is negligible.)
a. If the total power transferred to the rotor is 40 kW , determine the slip and the output torque.
b. If the total power into the motor $P_{\text {in }}$ is 45 kW and $R_S$ is $0.5 \Omega$, find $I_S$ and the power factor.

Principles and Applications of Electrical Engineering

Giorgio Rizzoni,… 7th Edition

Chapter 15, Problem 53

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A three-phase, two-pole, $400-\mathrm{V}$ (per phase), $60-\mathrm{Hz}$ induction motor develops 37 kW (total) of mechanical power $P_m$ at a certain speed. The rotational loss at this speed is 800 W (total). (Stray-load loss is negligible.) a. If the total power transferred to the rotor is 40 kW , determine the slip and the output torque. b. If the total power into the motor $P_{\text {in }}$ is 45 kW and $R_S$ is $0.5 \Omega$, find $I_S$ and the power factor.

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